10405120480 has 48 divisors (see below), whose sum is σ = 25875899280. Its totient is φ = 3942991872.

The previous prime is 10405120477. The next prime is 10405120483. The reversal of 10405120480 is 8402150401.

It is an interprime number because it is at equal distance from previous prime (10405120477) and next prime (10405120483).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405120483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1708329 + ... + 1714408.

It is an arithmetic number, because the mean of its divisors is an integer number (539081235).

Almost surely, 2^10405120480 is an apocalyptic number.

10405120480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10405120480 is an abundant number, since it is smaller than the sum of its proper divisors (15470778800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10405120480 is a wasteful number, since it uses less digits than its factorization.

10405120480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422771 (or 3422763 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 10405120480 its reverse (8402150401), we get a palindrome (18807270881).

The spelling of 10405120480 in words is "ten billion, four hundred five million, one hundred twenty thousand, four hundred eighty".